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A car has one driver's seat and four different passenger seats. A group of five students wants to use the car to go to school, but only two of those five students are legally allowed to drive the car. What is the number of ways that the five students can be seated in the car for the drive?

 Apr 22, 2019

\(\text{First choose the driver. There are }\dbinom{2}{1}=2 \text{ ways to do this.}\\ \text{Now arrange the remaining 4 students. As the seats are distinct there are }4!=24 \text{ ways}\\ \text{Thus we have }2\cdot 24 = 48 \text{ ways off arranging the students}\)

 Apr 22, 2019

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